Solve y-2/8=3y-4/3

Evaluate

y - \frac{2}{8} = 3 y - \frac{4}{3}

Cancel out the common factor 2

y - \frac{1}{4} = 3 y - \frac{4}{3}

Multiply both sides of the equation by LCM

(y - \frac{1}{4}) \times 12 = (3 y - \frac{4}{3}) \times 12

Calculate

More Steps

12 y - 3 = (3 y - \frac{4}{3}) \times 12

Calculate

More Steps

12 y - 3 = 36 y - 16

Move the expression to the left side

12 y - 3 - 36 y = - 16

Move the expression to the right side

12 y - 36 y = - 16 + 3

Add and subtract

More Steps

- 24 y = - 16 + 3

Add and subtract

- 24 y = - 13

Change the signs on both sides of the equation

24 y = 13

Divide both sides

\frac{24 y}{24} = \frac{13}{24}

Solution

y = \frac{13}{24}

Alternative Form

y = 0.541 \dot{6}

Solve the equation